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Reduction and Invariant Solutions of Partial Differential Equtions

Thesis Info

Author

Hira Yaseen

Supervisor

Zulfiqar Ali

Program

Mphil

Institute

Riphah International University

Institute Type

Private

Campus Location

Faisalabad Campus

City

Faisalabad

Province

Punjab

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Page

iv, 49 . : ill. ; 30 cm.

Subject

Mathematics

Language

English

Other

Submitted in fulfillment of the requirements for the degree of Master of Philosophy in Mathematics to the Department of Mathematics and Statistics; Includes bibliographical references; Thesis (M.Phil)--Riphah International University, 2018; English; Call No: 515.35 HIR

Added

2021-02-17 19:49:13

Modified

2023-02-19 12:33:56

ARI ID

1676711310364

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آہ! حضرت مولانا شاہ امان اﷲ پھلوارویؒ
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یاد آتا ہے کہ تقریباً ۳۹ سال پہلے دارالمصنفین کے احاطہ میں ایک صاحب چکن کی شیروانی زیب تن کیے سر پر ایک خوشنما ٹوپی، پاؤں میں سلیم شاہی جوتے پہنے اور جوانی نہیں بلکہ نوجوانی کی رعنائی بکھیرتے ہوئے داخل ہوئے ان کی آنکھیں سرمگیں تو نہیں، لیکن شرمگیں ضرور تھیں، چہرہ کا رنگ...

EFFECT OF STATIC STRETCHING OF HAMSTRING ON NON-SPECIFIC LOW BACK PAIN

Objective: To determine the effect of static stretching of hamstring muscle on the non-specific low back pain. Methodology: A Quasi-Experimental study was conducted in Rabia Moon Institute of Neurology which total 30 participants were included through non-probability purposive sampling. Thirty participants were selected who fulfilled our inclusion criteria, they were divided into two groups; group A or treatment group received conventional physiotherapy treatment as well a static stretching exercise protocol for 5 days. Group B or control group received conventional physiotherapy treatment only. VAS (Visual analog scale) and Oswestry Disability questionnaire, SFGD (Standing Finger to ground Distance,) PSLR (passive straight leg raise) for both legs were measured pre- and post-treatment. Result: A total of 30 patients aged 20-55 were included in the study. Mean age of the participants was found to be 37.88 years.  The difference in means of all the assessment parameters pre and post-treatment for both groups were analyzed through paired t-test. There was a significant improvement in VAS, SFGD, Passive Straight leg Raise PSLR (right leg), PSLR (left leg) and level of disability pre- and post-treatment in the treatment group. Conclusion: This present study concluded that static stretching of hamstrings is effective in decreasing non-specific low back pain.

Studies on Genetic Characterization and Deregulation of Homologous Recombinant Repair Hrr Pathway Genes in Thyroid Cancer

XRCC2, XRCC3 and RAD51 are the main molecules of the homologous recombinant repair (HRR) pathway related to thyroid cancer. Polymorphisms in these genes have been reported frequently in literature and are known to show diverse patterns in different populations. The present study was designed to screen these genes in thyroid cancer patients and controls at the DNA, mRNA and protein levels. A total of 456 pathologically confirmed thyroid cancer patients and 400 healthy controls were recruited. ARMS-PCR was used for genetic analysis followed by sequencing. In this study, various reported polymorphisms were analysed in HRR pathway genes at the germline level in thyroid cancer patients. Significant association of these SNPs were observed with age of diagnosis, gender, smoking, staging, histological subtype and treatment strategies of cancer. Significant association of these functional, promoter based and non-coding polymorphisms in HRR pathway genes and associations of these SNPs with important risk factors highlights their possible role in thyroid carcinogenesis. Further haplotype analysis revealed that most of the haplotypes in XRCC2, XRCC3 and RAD51 are linked with a significant increase in thyroid cancer risk. While some of the haplotypes were associated with a significant reduced thyroid cancer risk. RAD51 SNP, rs1801321 were observed consistent in reduced risk of thyroid cancer in association with risk factors analysed in this study. HRR pathway genes were further investigated at mRNA and protein expression levels. Thyroid cancer samples (n=102) along with equal numbers of un-involved tissues as controls were used for expression analysis. Quantitative real time PCR was used for determination of mRNA expression levels and immunohistochemistry was performed to analyse the protein expression of these genes. Expression analysis of XRCC2, XRCC3, RAD51 and proliferation marker Ki67 at mRNA level revealed significant deregulations. Significant downregulation (p<0.01) of XRCC2 and up-regulations of XRCC3 (p<0.01), RAD51 (p<0.001) and proliferation marker Ki67 (p<0.001) were observed in the expression profile of HRR molecules. These were significantly correlated (negatively and positively) with an up-regulated expression profile of the tumor proliferation marker, Ki67. XRCC3 and RAD51 expression was up-regulated in higher stages and aggressive tumor stages. Immunohistochemical analysis of HRR molecules revealed that among 102 tumor samples, 87% samples showed down- regulation of XRCC2 (p<0.0001), 75% samples showed up-regulation of XRCC3 (p<0.001), 76% samples showed up-regulation of RAD51 (p<0.0001) and 82% samples showed up-regulation (p<0.0001) of proliferation marker, Ki67. These IHC analysis results support our qPCR findings. Polymorphisms in HRR genes and abnormal expression at transcription and translation levels besides defective DNA damage may suggest that HRR pathway genes are correlated with thyroid tumorigenesis and aggressive proliferative behaviour of thyroid cancer in the Pakistani population. Furthermore, the role of XRCC2 and XRCC3 genes were explored in a thyroid cancer cell line (8505C) cells using in-vitro experiments. Effects of genetic modifications were observed for XRCC2 and XRCC3 in thyroid cancer cells by CRISPR-Cas9. These two genes were expressed using lentivirus having GFP, Cas9 and guide RNA. Gene knockouts for these genes were observed after single cell isolation. A gene cleavage assay showed successful genetic modifications and altered behaviour of these genes in thyroid cancer cells. Therefore, potential knockout of these genes gave an insight into molecular mechanism of thyroid cancer. XRCC3 gene function was further explored in the thyroid cancer cell line. Gene knockdown was produced by siRNA technology and successful knockdowns were confirmed using western blots. XRCC3 knockdown cells of anaplastic thyroid cancer (8505C) cell line showed decreased cell growth (p<0.01) as well as decreased cell proliferation after cell colony forming assay (p<0.001) when compared to controls. Decreased invasion (p<0.001), increased adhesion ability (p<0.001) and decreased migration abilities (i.e. wound closure for XRCC3 with siRNA knockdown was 86%) of the cells migrated for wound closure after 24 hours compared to ~98% cell migration of control cells. XRCC3 siRNA knockdown showed significant genetic alterations after treatment with topoisomerase inhibitor drugs (i.e. camptothecin, phleomycin and etoposide). Effect of these drugs on XRCC3 knockdowns were observed by colony PCR and metaphase analysis. Therefore overexpression of XRCC3 caused significant increase in cancerous characteristics of thyroid cancer which is in accordance with observed results at the mRNA and protein levels of expression. For a better insight into these genes in thyroid carcinogenesis, further work is needed to explore the interesting domains playing important role in carcinogenesis. Study of different factors affecting the thyroid cancer will not only assist in understanding thyroid cancer disease progression but will also help to establish future personalized cancer risk prediction.